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10122300020 = 2257792813257
BaseRepresentation
bin10010110110101011…
…00000101001110100
3222010102220010012202
421123111200221310
5131212302100040
64352232004032
7505561062530
oct113325405164
928112803182
1010122300020
114324857908
121b65b30618
13c5413b251
146c04babc0
153e39ba015
hex25b560a74

10122300020 has 96 divisors (see below), whose sum is σ = 24696161280. Its totient is φ = 3413329920.

The previous prime is 10122300011. The next prime is 10122300043. The reversal of 10122300020 is 2000322101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10122299974 and 10122300010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106232 + ... + 3109488.

It is an arithmetic number, because the mean of its divisors is an integer number (257251680).

Almost surely, 210122300020 is an apocalyptic number.

10122300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348080640).

10122300020 is an abundant number, since it is smaller than the sum of its proper divisors (14573861260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10122300020 is a wasteful number, since it uses less digits than its factorization.

10122300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10122300020 its reverse (2000322101), we get a palindrome (12122622121).

It can be divided in two parts, 1012 and 2300020, that added together give a palindrome (2301032).

The spelling of 10122300020 in words is "ten billion, one hundred twenty-two million, three hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 281 316 395 553 562 790 1106 1124 1405 1580 1967 2212 2765 2810 3257 3934 5530 5620 6514 7868 9835 11060 13028 16285 19670 22199 22799 32570 39340 44398 45598 65140 88796 91196 110995 113995 155393 221990 227990 257303 310786 443980 455980 514606 621572 776965 915217 1029212 1286515 1553930 1801121 1830434 2573030 3107860 3602242 3660868 4576085 5146060 6406519 7204484 9005605 9152170 12813038 18011210 18304340 25626076 32032595 36022420 64065190 72302143 128130380 144604286 289208572 361510715 506115001 723021430 1012230002 1446042860 2024460004 2530575005 5061150010 10122300020